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80393148 = 22351173103
BaseRepresentation
bin1001100101010…
…11001110111100
312121021101200000
410302223032330
5131040040043
611551034300
71664221233
oct462531674
9177241600
1080393148
114141a620
1222b0b990
131386a314
14a969b1a
1570d02d3
hex4cab3bc

80393148 has 144 divisors (see below), whose sum is σ = 235312896. Its totient is φ = 23794560.

The previous prime is 80393143. The next prime is 80393149. The reversal of 80393148 is 84139308.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80393143) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 780465 + ... + 780567.

Almost surely, 280393148 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80393148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117656448).

80393148 is an abundant number, since it is smaller than the sum of its proper divisors (154919748).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

80393148 is a wasteful number, since it uses less digits than its factorization.

80393148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 80393148 is about 8966.2226160184. Note that the first 3 decimals coincide. The cubic root of 80393148 is about 431.5916279742.

The spelling of 80393148 in words is "eighty million, three hundred ninety-three thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 73 81 99 103 108 132 146 162 198 206 219 243 292 297 309 324 396 412 438 486 594 618 657 803 876 891 927 972 1133 1188 1236 1314 1606 1782 1854 1971 2266 2409 2628 2673 2781 3212 3399 3564 3708 3942 4532 4818 5346 5562 5913 6798 7227 7519 7884 8343 9636 10197 10692 11124 11826 13596 14454 15038 16686 17739 20394 21681 22557 23652 25029 28908 30076 30591 33372 35478 40788 43362 45114 50058 61182 65043 67671 70956 82709 86724 90228 91773 100116 122364 130086 135342 165418 183546 195129 203013 248127 260172 270684 275319 330836 367092 390258 406026 496254 550638 609039 744381 780516 812052 992508 1101276 1218078 1488762 1827117 2233143 2436156 2977524 3654234 4466286 6699429 7308468 8932572 13398858 20098287 26797716 40196574 80393148